Exponent Review & Scientific Notation

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What is scientific notation?

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Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It is typically in the form of a x 10^n, where 1 ≤ a < 10 and n is an integer.

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How do you add numbers in scientific notation?

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To add numbers in scientific notation, you must first express them with the same exponent. Then, add the coefficients and keep the common exponent.

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What is the value of any number raised to the power of zero?

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Any non-zero number raised to the power of zero is equal to 1.

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What does a negative exponent indicate?

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A negative exponent indicates that the base is on the opposite side of the fraction. For example, x^-n = 1/x^n.

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How do you simplify an expression with a negative exponent?

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To simplify an expression with a negative exponent, rewrite it as a fraction with a positive exponent in the denominator.

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What is the product of two numbers in scientific notation?

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To multiply numbers in scientific notation, multiply the coefficients and add the exponents. The result is in the form a x 10^n.

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What is the quotient of two numbers in scientific notation?

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To divide numbers in scientific notation, divide the coefficients and subtract the exponents. The result is in the form a x 10^n.

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What is the significance of the coefficient in scientific notation?

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The coefficient in scientific notation must be between 1 and 10. It represents the significant figures of the number.

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How do you convert a number from standard form to scientific notation?

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To convert a number to scientific notation, move the decimal point to create a coefficient between 1 and 10, and count the number of places moved to determine the exponent.

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What is the rule for multiplying powers with the same base?

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When multiplying powers with the same base, add the exponents. For example, x^a * x^b = x^(a+b).